Question

Mark the correct alternative in each of the following:

$\left(-2\right)÷\left(-\frac{5}{3}\right)=$

(a) $\frac{5}{6}$ (b) $-\frac{5}{6}$ (c) $\frac{6}{5}$ (d) $\frac{-6}{5}$

Answer 1

$$\begin{gathered} \left(-2\right)÷\left(-\frac{5}{3}\right) \\ =-2\times \left(-\frac{3}{5}\right)\left(x÷y=x\times \frac{1}{y}\right) \\ =\frac{-2}{1}\times \frac{\left(-3\right)}{5} \\ =\frac{-2\times \left(-3\right)}{1\times 5}\left(\frac{a}{b}\times \frac{c}{d}=\frac{a\times c}{b\times d}\right) \\ =\frac{6}{5} \end{gathered}$$

Hence, the correct answer is option (c).